The terms in the sequence decrease by the same amount each time: 9, 6 ,3 ,0, -3, -6

Work out ,in term of n, the nth term of the sequence

the nth term of the sequence, Tn= -3n +12

Step-by-step explanation:

The nth term of an arithmetic progression is given as

Tn=  a+ (n-1) d

where a= first term

and d = common difference

In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that  the number is decreasing by 3

The first term, a= 9

and common difference, d = -3

using our formulae

Tn=  a+ (n-1) d

Tn= 9 + ( n-1) -3

Tn=9- 3n+ 3

Tn= -3n +12

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step-by-step explanation: